EvilBunny said:lim as x goes closer to minus infinity.
x^4 + x^5
now visibly the answer is minus infinity since the equation are simple. But aside from saying x^5 is bigger then x^4 could there be anything else to do ?
The limit of x^4 + x^5 as x approaches infinity is infinity. This is because as x gets larger and larger, the value of x^4 and x^5 also increase without bound.
To find the limit at infinity of a polynomial function, you can use the leading term of the polynomial. In this case, the leading term is x^5. Since the degree of the polynomial is odd, the limit at infinity will be either positive infinity or negative infinity, depending on the sign of the coefficient of the leading term.
Yes, the limit at infinity of a polynomial function can be negative. This depends on the sign of the coefficient of the leading term. If the coefficient is negative, the limit at infinity will also be negative.
The degree of a polynomial affects the limit at infinity in the following ways:
No, the limit at infinity of a function cannot be a finite number. This is because when x approaches infinity, the value of the function also approaches infinity. A finite number cannot be reached as x approaches infinity.